TSTP Solution File: GEO545+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO545+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:09:07 EDT 2023
% Result : Theorem 4.82s 1.00s
% Output : CNFRefutation 4.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GEO545+1 : TPTP v8.1.2. Released v7.5.0.
% 0.10/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.30 % Computer : n005.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue May 30 11:59:36 EDT 2023
% 0.10/0.30 % CPUTime :
% 0.14/0.31 % Drodi V3.5.1
% 4.82/1.00 % Refutation found
% 4.82/1.00 % SZS status Theorem for theBenchmark: Theorem is valid
% 4.82/1.00 % SZS output start CNFRefutation for theBenchmark
% 4.82/1.00 fof(f1,axiom,(
% 4.82/1.00 (! [A,B,C] :( coll(A,B,C)=> coll(A,C,B) ) )),
% 4.82/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.82/1.00 fof(f2,axiom,(
% 4.82/1.00 (! [A,B,C] :( coll(A,B,C)=> coll(B,A,C) ) )),
% 4.82/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.82/1.00 fof(f3,axiom,(
% 4.82/1.00 (! [A,B,C,D] :( ( coll(A,B,C)& coll(A,B,D) )=> coll(C,D,A) ) )),
% 4.82/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.82/1.00 fof(f4,axiom,(
% 4.82/1.00 (! [A,B,C,D] :( para(A,B,C,D)=> para(A,B,D,C) ) )),
% 4.82/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.82/1.00 fof(f5,axiom,(
% 4.82/1.00 (! [A,B,C,D] :( para(A,B,C,D)=> para(C,D,A,B) ) )),
% 4.82/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.82/1.00 fof(f7,axiom,(
% 4.82/1.00 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(A,B,D,C) ) )),
% 4.82/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.82/1.00 fof(f8,axiom,(
% 4.82/1.00 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 4.82/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.82/1.00 fof(f10,axiom,(
% 4.82/1.00 (! [A,B,C,D,E,F] :( ( para(A,B,C,D)& perp(C,D,E,F) )=> perp(A,B,E,F) ) )),
% 4.82/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.82/1.00 fof(f11,axiom,(
% 4.82/1.00 (! [A,B,M] :( midp(M,B,A)=> midp(M,A,B) ) )),
% 4.82/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.82/1.00 fof(f13,axiom,(
% 4.82/1.00 (! [A,B,C,D,O] :( ( cong(O,A,O,B)& cong(O,A,O,C)& cong(O,A,O,D) )=> cyclic(A,B,C,D) ) )),
% 4.82/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.82/1.00 fof(f15,axiom,(
% 4.82/1.00 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(A,C,B,D) ) )),
% 4.82/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.82/1.00 fof(f18,axiom,(
% 4.82/1.00 (! [A,B,C,D,P,Q,U,V] :( eqangle(A,B,C,D,P,Q,U,V)=> eqangle(B,A,C,D,P,Q,U,V) ) )),
% 4.82/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.82/1.00 fof(f19,axiom,(
% 4.82/1.00 (! [A,B,C,D,P,Q,U,V] :( eqangle(A,B,C,D,P,Q,U,V)=> eqangle(C,D,A,B,U,V,P,Q) ) )),
% 4.82/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.82/1.00 fof(f20,axiom,(
% 4.82/1.00 (! [A,B,C,D,P,Q,U,V] :( eqangle(A,B,C,D,P,Q,U,V)=> eqangle(P,Q,U,V,A,B,C,D) ) )),
% 4.82/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.82/1.00 fof(f23,axiom,(
% 4.82/1.00 (! [A,B,C,D] :( cong(A,B,C,D)=> cong(A,B,D,C) ) )),
% 4.82/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.82/1.00 fof(f24,axiom,(
% 4.82/1.00 (! [A,B,C,D] :( cong(A,B,C,D)=> cong(C,D,A,B) ) )),
% 4.82/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.82/1.00 fof(f25,axiom,(
% 4.82/1.00 (! [A,B,C,D,E,F] :( ( cong(A,B,C,D)& cong(C,D,E,F) )=> cong(A,B,E,F) ) )),
% 4.82/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.82/1.00 fof(f39,axiom,(
% 4.82/1.00 (! [A,B,C,D,P,Q] :( eqangle(A,B,P,Q,C,D,P,Q)=> para(A,B,C,D) ) )),
% 4.82/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.82/1.00 fof(f40,axiom,(
% 4.82/1.00 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 4.82/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.82/1.00 fof(f41,axiom,(
% 4.82/1.00 (! [A,B,P,Q] :( cyclic(A,B,P,Q)=> eqangle(P,A,P,B,Q,A,Q,B) ) )),
% 4.82/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.82/1.00 fof(f47,axiom,(
% 4.82/1.00 (! [A,B,O] :( cong(O,A,O,B)=> eqangle(O,A,A,B,A,B,O,B) ) )),
% 4.82/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.82/1.00 fof(f57,axiom,(
% 4.82/1.00 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q) )=> perp(A,B,P,Q) ) )),
% 4.82/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.82/1.00 fof(f65,axiom,(
% 4.82/1.00 (! [A,B,C,D,M] :( ( midp(M,A,B)& para(A,C,B,D)& para(A,D,B,C) )=> midp(M,C,D) ) )),
% 4.82/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.82/1.00 fof(f67,axiom,(
% 4.82/1.00 (! [A,B,C] :( para(A,B,A,C)=> coll(A,B,C) ) )),
% 4.82/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.82/1.00 fof(f68,axiom,(
% 4.82/1.00 (! [A,B,C] :( ( cong(A,B,A,C)& coll(A,B,C) )=> midp(A,B,C) ) )),
% 4.82/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.82/1.00 fof(f69,axiom,(
% 4.82/1.00 (! [A,B,C] :( midp(A,B,C)=> cong(A,B,A,C) ) )),
% 4.82/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.82/1.00 fof(f70,axiom,(
% 4.82/1.00 (! [A,B,C] :( midp(A,B,C)=> coll(A,B,C) ) )),
% 4.82/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.82/1.00 fof(f71,axiom,(
% 4.82/1.00 (! [A,B,C,D,M,N] :( ( midp(M,A,B)& midp(N,C,D) )=> eqratio(M,A,A,B,N,C,C,D) ) )),
% 4.82/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.82/1.00 fof(f76,axiom,(
% 4.82/1.00 (! [A,B,C,D,P,Q,U,V] :( ( eqratio(A,B,C,D,P,Q,U,V)& cong(P,Q,U,V) )=> cong(A,B,C,D) ) )),
% 4.82/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.82/1.00 fof(f95,conjecture,(
% 4.82/1.00 (! [A,B,C,H,O,C1,B1,A1,MIDPNT1,MIDPNT2,MIDPNT3,MIDPNT4,MIDPNT5,MIDPNT6,MIDPNT7,MIDPNT8,MIDPNT9,MIDPNT01,MIDPNT11,MIDPNT21] :( ( perp(A,B,C,H)& perp(A,C,B,H)& perp(B,C,A,H)& midp(MIDPNT1,A,B)& perp(A,B,MIDPNT1,O)& midp(MIDPNT2,A,C)& perp(A,C,MIDPNT2,O)& midp(MIDPNT3,B,C)& perp(B,C,MIDPNT3,O)& midp(MIDPNT4,A,B)& perp(A,B,MIDPNT4,C1)& midp(MIDPNT5,A,H)& perp(A,H,MIDPNT5,C1)& midp(MIDPNT6,B,H)& perp(B,H,MIDPNT6,C1)& midp(MIDPNT7,A,H)& perp(A,H,MIDPNT7,B1)& midp(MIDPNT8,A,C)& perp(A,C,MIDPNT8,B1)& midp(MIDPNT9,H,C)& perp(H,C,MIDPNT9,B1)& midp(MIDPNT01,B,H)& perp(B,H,MIDPNT01,A1)& midp(MIDPNT11,B,C)& perp(B,C,MIDPNT11,A1)& midp(MIDPNT21,H,C)& perp(H,C,MIDPNT21,A1) )=> perp(A1,O,B1,C1) ) )),
% 4.82/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.82/1.00 fof(f96,negated_conjecture,(
% 4.82/1.00 ~((! [A,B,C,H,O,C1,B1,A1,MIDPNT1,MIDPNT2,MIDPNT3,MIDPNT4,MIDPNT5,MIDPNT6,MIDPNT7,MIDPNT8,MIDPNT9,MIDPNT01,MIDPNT11,MIDPNT21] :( ( perp(A,B,C,H)& perp(A,C,B,H)& perp(B,C,A,H)& midp(MIDPNT1,A,B)& perp(A,B,MIDPNT1,O)& midp(MIDPNT2,A,C)& perp(A,C,MIDPNT2,O)& midp(MIDPNT3,B,C)& perp(B,C,MIDPNT3,O)& midp(MIDPNT4,A,B)& perp(A,B,MIDPNT4,C1)& midp(MIDPNT5,A,H)& perp(A,H,MIDPNT5,C1)& midp(MIDPNT6,B,H)& perp(B,H,MIDPNT6,C1)& midp(MIDPNT7,A,H)& perp(A,H,MIDPNT7,B1)& midp(MIDPNT8,A,C)& perp(A,C,MIDPNT8,B1)& midp(MIDPNT9,H,C)& perp(H,C,MIDPNT9,B1)& midp(MIDPNT01,B,H)& perp(B,H,MIDPNT01,A1)& midp(MIDPNT11,B,C)& perp(B,C,MIDPNT11,A1)& midp(MIDPNT21,H,C)& perp(H,C,MIDPNT21,A1) )=> perp(A1,O,B1,C1) ) ))),
% 4.82/1.00 inference(negated_conjecture,[status(cth)],[f95])).
% 4.82/1.00 fof(f97,plain,(
% 4.82/1.00 ![A,B,C]: (~coll(A,B,C)|coll(A,C,B))),
% 4.82/1.00 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 4.82/1.00 fof(f98,plain,(
% 4.82/1.00 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X0,X2,X1))),
% 4.82/1.00 inference(cnf_transformation,[status(esa)],[f97])).
% 4.82/1.00 fof(f99,plain,(
% 4.82/1.00 ![A,B,C]: (~coll(A,B,C)|coll(B,A,C))),
% 4.82/1.00 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 4.82/1.00 fof(f100,plain,(
% 4.82/1.00 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X1,X0,X2))),
% 4.82/1.00 inference(cnf_transformation,[status(esa)],[f99])).
% 4.82/1.00 fof(f101,plain,(
% 4.82/1.00 ![A,B,C,D]: ((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A))),
% 4.82/1.00 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 4.82/1.00 fof(f102,plain,(
% 4.82/1.00 ![A,C,D]: ((![B]: (~coll(A,B,C)|~coll(A,B,D)))|coll(C,D,A))),
% 4.82/1.00 inference(miniscoping,[status(esa)],[f101])).
% 4.82/1.00 fof(f103,plain,(
% 4.82/1.00 ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|~coll(X0,X1,X3)|coll(X2,X3,X0))),
% 4.82/1.00 inference(cnf_transformation,[status(esa)],[f102])).
% 4.82/1.00 fof(f104,plain,(
% 4.82/1.00 ![A,B,C,D]: (~para(A,B,C,D)|para(A,B,D,C))),
% 4.82/1.00 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 4.82/1.00 fof(f105,plain,(
% 4.82/1.00 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X0,X1,X3,X2))),
% 4.82/1.00 inference(cnf_transformation,[status(esa)],[f104])).
% 4.82/1.00 fof(f106,plain,(
% 4.82/1.00 ![A,B,C,D]: (~para(A,B,C,D)|para(C,D,A,B))),
% 4.82/1.00 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 4.82/1.00 fof(f107,plain,(
% 4.82/1.00 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X2,X3,X0,X1))),
% 4.82/1.00 inference(cnf_transformation,[status(esa)],[f106])).
% 4.82/1.00 fof(f111,plain,(
% 4.82/1.00 ![A,B,C,D]: (~perp(A,B,C,D)|perp(A,B,D,C))),
% 4.82/1.00 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 4.82/1.00 fof(f112,plain,(
% 4.82/1.00 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X0,X1,X3,X2))),
% 4.82/1.00 inference(cnf_transformation,[status(esa)],[f111])).
% 4.82/1.00 fof(f113,plain,(
% 4.82/1.00 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 4.82/1.00 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 4.82/1.00 fof(f114,plain,(
% 4.82/1.00 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 4.82/1.00 inference(cnf_transformation,[status(esa)],[f113])).
% 4.82/1.00 fof(f118,plain,(
% 4.82/1.00 ![A,B,C,D,E,F]: ((~para(A,B,C,D)|~perp(C,D,E,F))|perp(A,B,E,F))),
% 4.82/1.00 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 4.82/1.00 fof(f119,plain,(
% 4.82/1.00 ![A,B,E,F]: ((![C,D]: (~para(A,B,C,D)|~perp(C,D,E,F)))|perp(A,B,E,F))),
% 4.82/1.00 inference(miniscoping,[status(esa)],[f118])).
% 4.82/1.00 fof(f120,plain,(
% 4.82/1.00 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|perp(X0,X1,X4,X5))),
% 4.82/1.00 inference(cnf_transformation,[status(esa)],[f119])).
% 4.82/1.00 fof(f121,plain,(
% 4.82/1.00 ![A,B,M]: (~midp(M,B,A)|midp(M,A,B))),
% 4.82/1.00 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 4.82/1.00 fof(f122,plain,(
% 4.82/1.00 ![X0,X1,X2]: (~midp(X0,X1,X2)|midp(X0,X2,X1))),
% 4.82/1.00 inference(cnf_transformation,[status(esa)],[f121])).
% 4.82/1.00 fof(f125,plain,(
% 4.82/1.00 ![A,B,C,D,O]: (((~cong(O,A,O,B)|~cong(O,A,O,C))|~cong(O,A,O,D))|cyclic(A,B,C,D))),
% 4.82/1.00 inference(pre_NNF_transformation,[status(esa)],[f13])).
% 4.82/1.00 fof(f126,plain,(
% 4.82/1.00 ![A,B,C,D]: ((![O]: ((~cong(O,A,O,B)|~cong(O,A,O,C))|~cong(O,A,O,D)))|cyclic(A,B,C,D))),
% 4.82/1.00 inference(miniscoping,[status(esa)],[f125])).
% 4.82/1.00 fof(f127,plain,(
% 4.82/1.00 ![X0,X1,X2,X3,X4]: (~cong(X0,X1,X0,X2)|~cong(X0,X1,X0,X3)|~cong(X0,X1,X0,X4)|cyclic(X1,X2,X3,X4))),
% 4.82/1.00 inference(cnf_transformation,[status(esa)],[f126])).
% 4.82/1.00 fof(f130,plain,(
% 4.82/1.00 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(A,C,B,D))),
% 4.82/1.00 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 4.82/1.00 fof(f131,plain,(
% 4.82/1.00 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X0,X2,X1,X3))),
% 4.82/1.00 inference(cnf_transformation,[status(esa)],[f130])).
% 4.82/1.00 fof(f137,plain,(
% 4.82/1.00 ![A,B,C,D,P,Q,U,V]: (~eqangle(A,B,C,D,P,Q,U,V)|eqangle(B,A,C,D,P,Q,U,V))),
% 4.82/1.00 inference(pre_NNF_transformation,[status(esa)],[f18])).
% 4.82/1.00 fof(f138,plain,(
% 4.82/1.00 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|eqangle(X1,X0,X2,X3,X4,X5,X6,X7))),
% 4.82/1.00 inference(cnf_transformation,[status(esa)],[f137])).
% 4.82/1.00 fof(f139,plain,(
% 4.82/1.00 ![A,B,C,D,P,Q,U,V]: (~eqangle(A,B,C,D,P,Q,U,V)|eqangle(C,D,A,B,U,V,P,Q))),
% 4.82/1.00 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 4.82/1.00 fof(f140,plain,(
% 4.82/1.00 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|eqangle(X2,X3,X0,X1,X6,X7,X4,X5))),
% 4.82/1.00 inference(cnf_transformation,[status(esa)],[f139])).
% 4.82/1.00 fof(f141,plain,(
% 4.82/1.00 ![A,B,C,D,P,Q,U,V]: (~eqangle(A,B,C,D,P,Q,U,V)|eqangle(P,Q,U,V,A,B,C,D))),
% 4.82/1.00 inference(pre_NNF_transformation,[status(esa)],[f20])).
% 4.82/1.00 fof(f142,plain,(
% 4.82/1.00 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|eqangle(X4,X5,X6,X7,X0,X1,X2,X3))),
% 4.82/1.00 inference(cnf_transformation,[status(esa)],[f141])).
% 4.82/1.00 fof(f148,plain,(
% 4.82/1.00 ![A,B,C,D]: (~cong(A,B,C,D)|cong(A,B,D,C))),
% 4.82/1.00 inference(pre_NNF_transformation,[status(esa)],[f23])).
% 4.82/1.00 fof(f149,plain,(
% 4.82/1.00 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X3)|cong(X0,X1,X3,X2))),
% 4.82/1.00 inference(cnf_transformation,[status(esa)],[f148])).
% 4.82/1.00 fof(f150,plain,(
% 4.82/1.00 ![A,B,C,D]: (~cong(A,B,C,D)|cong(C,D,A,B))),
% 4.82/1.00 inference(pre_NNF_transformation,[status(esa)],[f24])).
% 4.82/1.00 fof(f151,plain,(
% 4.82/1.00 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X3)|cong(X2,X3,X0,X1))),
% 4.82/1.00 inference(cnf_transformation,[status(esa)],[f150])).
% 4.82/1.00 fof(f152,plain,(
% 4.82/1.00 ![A,B,C,D,E,F]: ((~cong(A,B,C,D)|~cong(C,D,E,F))|cong(A,B,E,F))),
% 4.82/1.00 inference(pre_NNF_transformation,[status(esa)],[f25])).
% 4.82/1.00 fof(f153,plain,(
% 4.82/1.00 ![A,B,E,F]: ((![C,D]: (~cong(A,B,C,D)|~cong(C,D,E,F)))|cong(A,B,E,F))),
% 4.82/1.00 inference(miniscoping,[status(esa)],[f152])).
% 4.82/1.00 fof(f154,plain,(
% 4.82/1.00 ![X0,X1,X2,X3,X4,X5]: (~cong(X0,X1,X2,X3)|~cong(X2,X3,X4,X5)|cong(X0,X1,X4,X5))),
% 4.82/1.00 inference(cnf_transformation,[status(esa)],[f153])).
% 4.82/1.00 fof(f184,plain,(
% 4.82/1.00 ![A,B,C,D,P,Q]: (~eqangle(A,B,P,Q,C,D,P,Q)|para(A,B,C,D))),
% 4.82/1.00 inference(pre_NNF_transformation,[status(esa)],[f39])).
% 4.82/1.00 fof(f185,plain,(
% 4.82/1.00 ![A,B,C,D]: ((![P,Q]: ~eqangle(A,B,P,Q,C,D,P,Q))|para(A,B,C,D))),
% 4.82/1.00 inference(miniscoping,[status(esa)],[f184])).
% 4.82/1.00 fof(f186,plain,(
% 4.82/1.00 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X2,X3,X4,X5,X2,X3)|para(X0,X1,X4,X5))),
% 4.82/1.00 inference(cnf_transformation,[status(esa)],[f185])).
% 4.82/1.00 fof(f187,plain,(
% 4.82/1.00 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 4.82/1.00 inference(pre_NNF_transformation,[status(esa)],[f40])).
% 4.82/1.00 fof(f188,plain,(
% 4.82/1.00 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 4.82/1.00 inference(miniscoping,[status(esa)],[f187])).
% 4.82/1.00 fof(f189,plain,(
% 4.82/1.00 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 4.82/1.00 inference(cnf_transformation,[status(esa)],[f188])).
% 4.82/1.00 fof(f190,plain,(
% 4.82/1.00 ![A,B,P,Q]: (~cyclic(A,B,P,Q)|eqangle(P,A,P,B,Q,A,Q,B))),
% 4.82/1.00 inference(pre_NNF_transformation,[status(esa)],[f41])).
% 4.82/1.00 fof(f191,plain,(
% 4.82/1.00 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|eqangle(X2,X0,X2,X1,X3,X0,X3,X1))),
% 4.82/1.00 inference(cnf_transformation,[status(esa)],[f190])).
% 4.82/1.00 fof(f205,plain,(
% 4.82/1.00 ![A,B,O]: (~cong(O,A,O,B)|eqangle(O,A,A,B,A,B,O,B))),
% 4.82/1.00 inference(pre_NNF_transformation,[status(esa)],[f47])).
% 4.82/1.00 fof(f206,plain,(
% 4.82/1.00 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|eqangle(X0,X1,X1,X2,X1,X2,X0,X2))),
% 4.82/1.00 inference(cnf_transformation,[status(esa)],[f205])).
% 4.82/1.00 fof(f231,plain,(
% 4.82/1.00 ![A,B,P,Q]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|perp(A,B,P,Q))),
% 4.82/1.00 inference(pre_NNF_transformation,[status(esa)],[f57])).
% 4.82/1.00 fof(f232,plain,(
% 4.82/1.00 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X0,X2,X1,X3))),
% 4.82/1.00 inference(cnf_transformation,[status(esa)],[f231])).
% 4.82/1.00 fof(f250,plain,(
% 4.82/1.00 ![A,B,C,D,M]: (((~midp(M,A,B)|~para(A,C,B,D))|~para(A,D,B,C))|midp(M,C,D))),
% 4.82/1.00 inference(pre_NNF_transformation,[status(esa)],[f65])).
% 4.82/1.00 fof(f251,plain,(
% 4.82/1.00 ![C,D,M]: ((![A,B]: ((~midp(M,A,B)|~para(A,C,B,D))|~para(A,D,B,C)))|midp(M,C,D))),
% 4.82/1.00 inference(miniscoping,[status(esa)],[f250])).
% 4.82/1.00 fof(f252,plain,(
% 4.82/1.00 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~para(X1,X3,X2,X4)|~para(X1,X4,X2,X3)|midp(X0,X3,X4))),
% 4.82/1.00 inference(cnf_transformation,[status(esa)],[f251])).
% 4.82/1.00 fof(f255,plain,(
% 4.82/1.00 ![A,B,C]: (~para(A,B,A,C)|coll(A,B,C))),
% 4.82/1.00 inference(pre_NNF_transformation,[status(esa)],[f67])).
% 4.82/1.00 fof(f256,plain,(
% 4.82/1.00 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|coll(X0,X1,X2))),
% 4.82/1.00 inference(cnf_transformation,[status(esa)],[f255])).
% 4.82/1.00 fof(f257,plain,(
% 4.82/1.00 ![A,B,C]: ((~cong(A,B,A,C)|~coll(A,B,C))|midp(A,B,C))),
% 4.82/1.00 inference(pre_NNF_transformation,[status(esa)],[f68])).
% 4.82/1.00 fof(f258,plain,(
% 4.82/1.00 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|~coll(X0,X1,X2)|midp(X0,X1,X2))),
% 4.82/1.00 inference(cnf_transformation,[status(esa)],[f257])).
% 4.82/1.00 fof(f259,plain,(
% 4.82/1.00 ![A,B,C]: (~midp(A,B,C)|cong(A,B,A,C))),
% 4.82/1.00 inference(pre_NNF_transformation,[status(esa)],[f69])).
% 4.82/1.00 fof(f260,plain,(
% 4.82/1.00 ![X0,X1,X2]: (~midp(X0,X1,X2)|cong(X0,X1,X0,X2))),
% 4.82/1.00 inference(cnf_transformation,[status(esa)],[f259])).
% 4.82/1.00 fof(f261,plain,(
% 4.82/1.00 ![A,B,C]: (~midp(A,B,C)|coll(A,B,C))),
% 4.82/1.00 inference(pre_NNF_transformation,[status(esa)],[f70])).
% 4.82/1.00 fof(f262,plain,(
% 4.82/1.00 ![X0,X1,X2]: (~midp(X0,X1,X2)|coll(X0,X1,X2))),
% 4.82/1.00 inference(cnf_transformation,[status(esa)],[f261])).
% 4.82/1.00 fof(f263,plain,(
% 4.82/1.00 ![A,B,C,D,M,N]: ((~midp(M,A,B)|~midp(N,C,D))|eqratio(M,A,A,B,N,C,C,D))),
% 4.82/1.00 inference(pre_NNF_transformation,[status(esa)],[f71])).
% 4.82/1.00 fof(f264,plain,(
% 4.82/1.00 ![X0,X1,X2,X3,X4,X5]: (~midp(X0,X1,X2)|~midp(X3,X4,X5)|eqratio(X0,X1,X1,X2,X3,X4,X4,X5))),
% 4.82/1.00 inference(cnf_transformation,[status(esa)],[f263])).
% 4.82/1.00 fof(f275,plain,(
% 4.82/1.00 ![A,B,C,D,P,Q,U,V]: ((~eqratio(A,B,C,D,P,Q,U,V)|~cong(P,Q,U,V))|cong(A,B,C,D))),
% 4.82/1.00 inference(pre_NNF_transformation,[status(esa)],[f76])).
% 4.82/1.00 fof(f276,plain,(
% 4.82/1.00 ![A,B,C,D]: ((![P,Q,U,V]: (~eqratio(A,B,C,D,P,Q,U,V)|~cong(P,Q,U,V)))|cong(A,B,C,D))),
% 4.82/1.00 inference(miniscoping,[status(esa)],[f275])).
% 4.82/1.00 fof(f277,plain,(
% 4.82/1.00 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~eqratio(X0,X1,X2,X3,X4,X5,X6,X7)|~cong(X4,X5,X6,X7)|cong(X0,X1,X2,X3))),
% 4.82/1.00 inference(cnf_transformation,[status(esa)],[f276])).
% 4.82/1.00 fof(f369,plain,(
% 4.82/1.00 (?[A,B,C,H,O,C1,B1,A1,MIDPNT1,MIDPNT2,MIDPNT3,MIDPNT4,MIDPNT5,MIDPNT6,MIDPNT7,MIDPNT8,MIDPNT9,MIDPNT01,MIDPNT11,MIDPNT21]: (((((((((((((((((((((((((((perp(A,B,C,H)&perp(A,C,B,H))&perp(B,C,A,H))&midp(MIDPNT1,A,B))&perp(A,B,MIDPNT1,O))&midp(MIDPNT2,A,C))&perp(A,C,MIDPNT2,O))&midp(MIDPNT3,B,C))&perp(B,C,MIDPNT3,O))&midp(MIDPNT4,A,B))&perp(A,B,MIDPNT4,C1))&midp(MIDPNT5,A,H))&perp(A,H,MIDPNT5,C1))&midp(MIDPNT6,B,H))&perp(B,H,MIDPNT6,C1))&midp(MIDPNT7,A,H))&perp(A,H,MIDPNT7,B1))&midp(MIDPNT8,A,C))&perp(A,C,MIDPNT8,B1))&midp(MIDPNT9,H,C))&perp(H,C,MIDPNT9,B1))&midp(MIDPNT01,B,H))&perp(B,H,MIDPNT01,A1))&midp(MIDPNT11,B,C))&perp(B,C,MIDPNT11,A1))&midp(MIDPNT21,H,C))&perp(H,C,MIDPNT21,A1))&~perp(A1,O,B1,C1)))),
% 4.82/1.00 inference(pre_NNF_transformation,[status(esa)],[f96])).
% 4.82/1.00 fof(f370,plain,(
% 4.82/1.00 ?[O,C1,B1,A1]: ((?[C,H,MIDPNT21]: (((?[B,MIDPNT11]: (((?[MIDPNT01]: (((?[MIDPNT9]: (((?[A,MIDPNT8]: (((?[MIDPNT7]: (((?[MIDPNT6]: (((?[MIDPNT5]: (((?[MIDPNT4]: (((?[MIDPNT3]: (((?[MIDPNT2]: (((?[MIDPNT1]: ((((perp(A,B,C,H)&perp(A,C,B,H))&perp(B,C,A,H))&midp(MIDPNT1,A,B))&perp(A,B,MIDPNT1,O)))&midp(MIDPNT2,A,C))&perp(A,C,MIDPNT2,O)))&midp(MIDPNT3,B,C))&perp(B,C,MIDPNT3,O)))&midp(MIDPNT4,A,B))&perp(A,B,MIDPNT4,C1)))&midp(MIDPNT5,A,H))&perp(A,H,MIDPNT5,C1)))&midp(MIDPNT6,B,H))&perp(B,H,MIDPNT6,C1)))&midp(MIDPNT7,A,H))&perp(A,H,MIDPNT7,B1)))&midp(MIDPNT8,A,C))&perp(A,C,MIDPNT8,B1)))&midp(MIDPNT9,H,C))&perp(H,C,MIDPNT9,B1)))&midp(MIDPNT01,B,H))&perp(B,H,MIDPNT01,A1)))&midp(MIDPNT11,B,C))&perp(B,C,MIDPNT11,A1)))&midp(MIDPNT21,H,C))&perp(H,C,MIDPNT21,A1)))&~perp(A1,O,B1,C1))),
% 4.82/1.00 inference(miniscoping,[status(esa)],[f369])).
% 4.82/1.00 fof(f371,plain,(
% 4.82/1.00 (((((((((((((((((((((((((((perp(sk0_31,sk0_27,sk0_24,sk0_25)&perp(sk0_31,sk0_24,sk0_27,sk0_25))&perp(sk0_27,sk0_24,sk0_31,sk0_25))&midp(sk0_39,sk0_31,sk0_27))&perp(sk0_31,sk0_27,sk0_39,sk0_20))&midp(sk0_38,sk0_31,sk0_24))&perp(sk0_31,sk0_24,sk0_38,sk0_20))&midp(sk0_37,sk0_27,sk0_24))&perp(sk0_27,sk0_24,sk0_37,sk0_20))&midp(sk0_36,sk0_31,sk0_27))&perp(sk0_31,sk0_27,sk0_36,sk0_21))&midp(sk0_35,sk0_31,sk0_25))&perp(sk0_31,sk0_25,sk0_35,sk0_21))&midp(sk0_34,sk0_27,sk0_25))&perp(sk0_27,sk0_25,sk0_34,sk0_21))&midp(sk0_33,sk0_31,sk0_25))&perp(sk0_31,sk0_25,sk0_33,sk0_22))&midp(sk0_32,sk0_31,sk0_24))&perp(sk0_31,sk0_24,sk0_32,sk0_22))&midp(sk0_30,sk0_25,sk0_24))&perp(sk0_25,sk0_24,sk0_30,sk0_22))&midp(sk0_29,sk0_27,sk0_25))&perp(sk0_27,sk0_25,sk0_29,sk0_23))&midp(sk0_28,sk0_27,sk0_24))&perp(sk0_27,sk0_24,sk0_28,sk0_23))&midp(sk0_26,sk0_25,sk0_24))&perp(sk0_25,sk0_24,sk0_26,sk0_23))&~perp(sk0_23,sk0_20,sk0_22,sk0_21))),
% 4.82/1.00 inference(skolemization,[status(esa)],[f370])).
% 4.82/1.00 fof(f375,plain,(
% 4.82/1.00 midp(sk0_39,sk0_31,sk0_27)),
% 4.82/1.00 inference(cnf_transformation,[status(esa)],[f371])).
% 4.82/1.00 fof(f381,plain,(
% 4.82/1.00 midp(sk0_36,sk0_31,sk0_27)),
% 4.82/1.00 inference(cnf_transformation,[status(esa)],[f371])).
% 4.82/1.00 fof(f387,plain,(
% 4.82/1.00 midp(sk0_33,sk0_31,sk0_25)),
% 4.82/1.00 inference(cnf_transformation,[status(esa)],[f371])).
% 4.82/1.00 fof(f389,plain,(
% 4.82/1.00 midp(sk0_32,sk0_31,sk0_24)),
% 4.82/1.00 inference(cnf_transformation,[status(esa)],[f371])).
% 4.82/1.00 fof(f395,plain,(
% 4.82/1.00 midp(sk0_28,sk0_27,sk0_24)),
% 4.82/1.00 inference(cnf_transformation,[status(esa)],[f371])).
% 4.82/1.00 fof(f399,plain,(
% 4.82/1.00 ~perp(sk0_23,sk0_20,sk0_22,sk0_21)),
% 4.82/1.00 inference(cnf_transformation,[status(esa)],[f371])).
% 4.82/1.00 fof(f401,plain,(
% 4.82/1.00 coll(sk0_28,sk0_27,sk0_24)),
% 4.82/1.00 inference(resolution,[status(thm)],[f262,f395])).
% 4.82/1.00 fof(f412,plain,(
% 4.82/1.00 ![X0,X1,X2]: (coll(X0,X1,X2)|~midp(X0,X2,X1))),
% 4.82/1.00 inference(resolution,[status(thm)],[f262,f122])).
% 4.82/1.00 fof(f413,plain,(
% 4.82/1.00 ~perp(sk0_22,sk0_21,sk0_23,sk0_20)),
% 4.82/1.00 inference(resolution,[status(thm)],[f399,f114])).
% 4.82/1.00 fof(f416,plain,(
% 4.82/1.00 ~perp(sk0_22,sk0_21,sk0_20,sk0_23)),
% 4.82/1.00 inference(resolution,[status(thm)],[f413,f112])).
% 4.82/1.00 fof(f419,plain,(
% 4.82/1.00 ~perp(sk0_20,sk0_23,sk0_22,sk0_21)),
% 4.82/1.00 inference(resolution,[status(thm)],[f416,f114])).
% 4.82/1.00 fof(f424,plain,(
% 4.82/1.00 ~perp(sk0_20,sk0_23,sk0_21,sk0_22)),
% 4.82/1.00 inference(resolution,[status(thm)],[f419,f112])).
% 4.82/1.00 fof(f437,plain,(
% 4.82/1.00 coll(sk0_36,sk0_27,sk0_31)),
% 4.82/1.00 inference(resolution,[status(thm)],[f412,f381])).
% 4.82/1.00 fof(f440,plain,(
% 4.82/1.00 coll(sk0_39,sk0_27,sk0_31)),
% 4.82/1.00 inference(resolution,[status(thm)],[f412,f375])).
% 4.82/1.00 fof(f498,plain,(
% 4.82/1.00 ![X0,X1,X2]: (coll(X0,X1,X2)|~para(X0,X2,X0,X1))),
% 4.82/1.00 inference(resolution,[status(thm)],[f256,f107])).
% 4.82/1.00 fof(f501,plain,(
% 4.82/1.00 ![X0,X1,X2]: (coll(X0,X1,X2)|~para(X0,X2,X1,X0))),
% 4.82/1.00 inference(resolution,[status(thm)],[f498,f105])).
% 4.82/1.00 fof(f504,plain,(
% 4.82/1.00 ![X0,X1,X2]: (coll(X0,X1,X2)|~para(X1,X0,X0,X2))),
% 4.82/1.00 inference(resolution,[status(thm)],[f501,f107])).
% 4.82/1.00 fof(f509,plain,(
% 4.82/1.00 ![X0,X1,X2]: (coll(X0,X1,X2)|~para(X1,X0,X2,X0))),
% 4.82/1.00 inference(resolution,[status(thm)],[f504,f105])).
% 4.82/1.00 fof(f514,plain,(
% 4.82/1.00 ![X0,X1,X2]: (~cong(X0,X1,X2,X0)|~coll(X0,X1,X2)|midp(X0,X1,X2))),
% 4.82/1.00 inference(resolution,[status(thm)],[f149,f258])).
% 4.82/1.00 fof(f515,plain,(
% 4.82/1.00 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|~coll(X0,X2,X1)|midp(X0,X2,X1))),
% 4.82/1.00 inference(resolution,[status(thm)],[f151,f258])).
% 4.82/1.00 fof(f630,plain,(
% 4.82/1.00 ![X0,X1,X2]: (~coll(X0,X1,X2)|midp(X0,X1,X2)|~cong(X2,X0,X0,X1))),
% 4.82/1.00 inference(resolution,[status(thm)],[f514,f151])).
% 4.82/1.00 fof(f640,plain,(
% 4.82/1.00 ![X0,X1,X2]: (~coll(X0,X1,X2)|midp(X0,X1,X2)|~cong(X2,X0,X1,X0))),
% 4.82/1.00 inference(resolution,[status(thm)],[f630,f149])).
% 4.82/1.00 fof(f651,plain,(
% 4.82/1.00 ![X0,X1]: (~coll(X0,X1,X1)|midp(X0,X1,X1)|~midp(X1,X0,X0))),
% 4.82/1.00 inference(resolution,[status(thm)],[f640,f260])).
% 4.82/1.00 fof(f699,plain,(
% 4.82/1.00 ![X0,X1,X2,X3]: (~cong(X0,X1,X0,X2)|cyclic(X1,X2,X3,X3)|~midp(X0,X1,X3))),
% 4.82/1.00 inference(resolution,[status(thm)],[f127,f260])).
% 4.82/1.00 fof(f816,plain,(
% 4.82/1.00 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X2)|~midp(X3,X0,X2)|~cong(X3,X1,X3,X0))),
% 4.82/1.00 inference(resolution,[status(thm)],[f699,f151])).
% 4.82/1.00 fof(f818,plain,(
% 4.82/1.00 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X2)|~midp(X3,X0,X2)|~midp(X3,X0,X1))),
% 4.82/1.00 inference(resolution,[status(thm)],[f699,f260])).
% 4.82/1.00 fof(f873,plain,(
% 4.82/1.00 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X2,X3,X4,X5,X2,X3)|para(X1,X0,X4,X5))),
% 4.82/1.00 inference(resolution,[status(thm)],[f138,f186])).
% 4.82/1.00 fof(f874,plain,(
% 4.82/1.00 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X2,X3,X0,X1,X4,X5)|para(X2,X3,X4,X5))),
% 4.82/1.00 inference(resolution,[status(thm)],[f140,f186])).
% 4.82/1.00 fof(f875,plain,(
% 4.82/1.00 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X2,X3,X4,X5,X2,X3)|para(X4,X5,X0,X1))),
% 4.82/1.00 inference(resolution,[status(thm)],[f142,f186])).
% 4.82/1.00 fof(f1032,plain,(
% 4.82/1.00 ![X0,X1,X2,X3,X4]: (~cong(X0,X1,X2,X3)|cong(X0,X1,X2,X4)|~midp(X2,X3,X4))),
% 4.82/1.00 inference(resolution,[status(thm)],[f154,f260])).
% 4.82/1.00 fof(f1469,plain,(
% 4.82/1.00 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X2)|~midp(X3,X0,X2)|~midp(X3,X1,X0))),
% 4.82/1.00 inference(resolution,[status(thm)],[f816,f260])).
% 4.82/1.00 fof(f1473,plain,(
% 4.82/1.00 ![X0]: (cyclic(sk0_24,sk0_27,X0,X0)|~midp(sk0_28,sk0_24,X0))),
% 4.82/1.00 inference(resolution,[status(thm)],[f1469,f395])).
% 4.82/1.00 fof(f1486,plain,(
% 4.82/1.00 ![X0]: (cyclic(sk0_24,sk0_27,X0,X0)|~midp(sk0_28,X0,sk0_24))),
% 4.82/1.00 inference(resolution,[status(thm)],[f1473,f122])).
% 4.82/1.00 fof(f1492,plain,(
% 4.82/1.00 ![X0,X1,X2,X3]: (cong(X0,X1,X0,X2)|~midp(X0,X3,X2)|~midp(X0,X1,X3))),
% 4.82/1.00 inference(resolution,[status(thm)],[f1032,f260])).
% 4.82/1.00 fof(f1991,plain,(
% 4.82/1.00 cyclic(sk0_24,sk0_27,sk0_27,sk0_27)),
% 4.82/1.00 inference(resolution,[status(thm)],[f1486,f395])).
% 4.82/1.00 fof(f2237,plain,(
% 4.82/1.00 ![X0,X1,X2]: (~cong(X0,X1,X0,X1)|perp(X0,X0,X1,X2)|~midp(X0,X2,X2))),
% 4.82/1.00 inference(resolution,[status(thm)],[f232,f260])).
% 4.82/1.00 fof(f2481,plain,(
% 4.82/1.00 ![X0]: (cong(sk0_28,X0,sk0_28,sk0_24)|~midp(sk0_28,X0,sk0_27))),
% 4.82/1.00 inference(resolution,[status(thm)],[f1492,f395])).
% 4.82/1.00 fof(f2494,plain,(
% 4.82/1.00 ![X0]: (cong(sk0_28,X0,sk0_28,sk0_24)|~midp(sk0_28,sk0_27,X0))),
% 4.82/1.00 inference(resolution,[status(thm)],[f2481,f122])).
% 4.82/1.00 fof(f2554,plain,(
% 4.82/1.00 ![X0,X1,X2,X3,X4]: (~para(X0,X1,X2,X3)|~para(X0,X3,X2,X1)|midp(X4,X1,X3)|~midp(X4,X2,X0))),
% 4.82/1.00 inference(resolution,[status(thm)],[f252,f122])).
% 4.82/1.00 fof(f2925,plain,(
% 4.82/1.00 ![X0,X1,X2,X3,X4,X5,X6]: (~eqratio(X0,X1,X2,X3,X4,X5,X4,X6)|cong(X0,X1,X2,X3)|~midp(X4,X5,X6))),
% 4.82/1.00 inference(resolution,[status(thm)],[f277,f260])).
% 4.82/1.00 fof(f3131,plain,(
% 4.82/1.00 ![X0,X1,X2]: (para(X0,X1,X1,X0)|~cyclic(X0,X2,X1,X1))),
% 4.82/1.00 inference(resolution,[status(thm)],[f873,f191])).
% 4.82/1.00 fof(f3132,plain,(
% 4.82/1.00 ![X0,X1,X2,X3]: (para(X0,X1,X2,X3)|~para(X1,X0,X2,X3))),
% 4.82/1.00 inference(resolution,[status(thm)],[f873,f189])).
% 4.82/1.00 fof(f3138,plain,(
% 4.82/1.00 para(sk0_24,sk0_27,sk0_27,sk0_24)),
% 4.82/1.00 inference(resolution,[status(thm)],[f3131,f1991])).
% 4.82/1.00 fof(f3142,plain,(
% 4.82/1.00 ![X0,X1,X2]: (para(X0,X1,X1,X0)|~cyclic(X0,X1,X2,X1))),
% 4.82/1.00 inference(resolution,[status(thm)],[f3131,f131])).
% 4.82/1.00 fof(f3377,plain,(
% 4.82/1.00 cong(sk0_28,sk0_24,sk0_28,sk0_24)),
% 4.82/1.00 inference(resolution,[status(thm)],[f2494,f395])).
% 4.82/1.00 fof(f3409,plain,(
% 4.82/1.00 spl0_12 <=> coll(sk0_28,sk0_24,sk0_24)),
% 4.82/1.00 introduced(split_symbol_definition)).
% 4.82/1.00 fof(f3411,plain,(
% 4.82/1.00 ~coll(sk0_28,sk0_24,sk0_24)|spl0_12),
% 4.82/1.00 inference(component_clause,[status(thm)],[f3409])).
% 4.82/1.00 fof(f3412,plain,(
% 4.82/1.00 spl0_13 <=> midp(sk0_28,sk0_24,sk0_24)),
% 4.82/1.00 introduced(split_symbol_definition)).
% 4.82/1.00 fof(f3413,plain,(
% 4.82/1.00 midp(sk0_28,sk0_24,sk0_24)|~spl0_13),
% 4.82/1.00 inference(component_clause,[status(thm)],[f3412])).
% 4.82/1.00 fof(f3415,plain,(
% 4.82/1.00 ~coll(sk0_28,sk0_24,sk0_24)|midp(sk0_28,sk0_24,sk0_24)),
% 4.82/1.00 inference(resolution,[status(thm)],[f3377,f515])).
% 4.82/1.00 fof(f3416,plain,(
% 4.82/1.00 ~spl0_12|spl0_13),
% 4.82/1.00 inference(split_clause,[status(thm)],[f3415,f3409,f3412])).
% 4.82/1.00 fof(f3471,plain,(
% 4.82/1.00 ![X0,X1,X2]: (para(X0,X1,X1,X0)|~midp(X2,X0,X1)|~midp(X2,X0,X1))),
% 4.82/1.00 inference(resolution,[status(thm)],[f3142,f818])).
% 4.82/1.00 fof(f3472,plain,(
% 4.82/1.00 ![X0,X1,X2]: (para(X0,X1,X1,X0)|~midp(X2,X0,X1))),
% 4.82/1.00 inference(duplicate_literals_removal,[status(esa)],[f3471])).
% 4.82/1.00 fof(f3482,plain,(
% 4.82/1.00 para(sk0_31,sk0_24,sk0_24,sk0_31)),
% 4.82/1.00 inference(resolution,[status(thm)],[f3472,f389])).
% 4.82/1.00 fof(f3483,plain,(
% 4.82/1.00 para(sk0_31,sk0_25,sk0_25,sk0_31)),
% 4.82/1.00 inference(resolution,[status(thm)],[f3472,f387])).
% 4.82/1.00 fof(f3630,plain,(
% 4.82/1.00 ~coll(sk0_24,sk0_28,sk0_24)|spl0_12),
% 4.82/1.00 inference(resolution,[status(thm)],[f3411,f100])).
% 4.82/1.00 fof(f3655,plain,(
% 4.82/1.00 ~coll(sk0_24,sk0_24,sk0_28)|spl0_12),
% 4.82/1.00 inference(resolution,[status(thm)],[f3630,f98])).
% 4.82/1.00 fof(f3718,plain,(
% 4.82/1.00 ![X0]: (~coll(sk0_28,X0,sk0_24)|~coll(sk0_28,X0,sk0_24)|spl0_12)),
% 4.82/1.00 inference(resolution,[status(thm)],[f3655,f103])).
% 4.82/1.00 fof(f3719,plain,(
% 4.82/1.00 ![X0]: (~coll(sk0_28,X0,sk0_24)|spl0_12)),
% 4.82/1.00 inference(duplicate_literals_removal,[status(esa)],[f3718])).
% 4.82/1.00 fof(f3724,plain,(
% 4.82/1.00 $false|spl0_12),
% 4.82/1.00 inference(backward_subsumption_resolution,[status(thm)],[f401,f3719])).
% 4.82/1.00 fof(f3725,plain,(
% 4.82/1.00 spl0_12),
% 4.82/1.00 inference(contradiction_clause,[status(thm)],[f3724])).
% 4.82/1.00 fof(f4115,plain,(
% 4.82/1.00 spl0_32 <=> para(X0,X1,X0,X1)),
% 4.82/1.00 introduced(split_symbol_definition)).
% 4.82/1.00 fof(f4116,plain,(
% 4.82/1.00 ![X0,X1]: (para(X0,X1,X0,X1)|~spl0_32)),
% 4.82/1.00 inference(component_clause,[status(thm)],[f4115])).
% 4.82/1.00 fof(f4118,plain,(
% 4.82/1.00 spl0_33 <=> ~para(X2,X3,X2,X3)),
% 4.82/1.00 introduced(split_symbol_definition)).
% 4.82/1.00 fof(f4119,plain,(
% 4.82/1.00 ![X0,X1]: (~para(X0,X1,X0,X1)|~spl0_33)),
% 4.82/1.00 inference(component_clause,[status(thm)],[f4118])).
% 4.82/1.00 fof(f4121,plain,(
% 4.82/1.00 ![X0,X1,X2,X3]: (para(X0,X1,X0,X1)|~para(X2,X3,X2,X3))),
% 4.82/1.00 inference(resolution,[status(thm)],[f874,f189])).
% 4.82/1.00 fof(f4122,plain,(
% 4.82/1.00 spl0_32|spl0_33),
% 4.82/1.00 inference(split_clause,[status(thm)],[f4121,f4115,f4118])).
% 4.82/1.00 fof(f4329,plain,(
% 4.82/1.00 ![X0,X1]: (coll(X0,X1,X1)|~spl0_32)),
% 4.82/1.00 inference(resolution,[status(thm)],[f4116,f509])).
% 4.82/1.00 fof(f4337,plain,(
% 4.82/1.00 ![X0,X1]: (midp(X0,X1,X1)|~midp(X1,X0,X0)|~spl0_32)),
% 4.82/1.00 inference(backward_subsumption_resolution,[status(thm)],[f651,f4329])).
% 4.82/1.00 fof(f4361,plain,(
% 4.82/1.00 ![X0,X1]: (~para(X0,X1,X1,X0)|~spl0_33)),
% 4.82/1.00 inference(resolution,[status(thm)],[f4119,f3132])).
% 4.82/1.00 fof(f4382,plain,(
% 4.82/1.00 $false|~spl0_33),
% 4.82/1.00 inference(backward_subsumption_resolution,[status(thm)],[f3138,f4361])).
% 4.82/1.00 fof(f4383,plain,(
% 4.82/1.00 ~spl0_33),
% 4.82/1.00 inference(contradiction_clause,[status(thm)],[f4382])).
% 4.82/1.00 fof(f4623,plain,(
% 4.82/1.00 ![X0,X1,X2]: (~para(X0,X1,X0,X1)|midp(X2,X1,X1)|~midp(X2,X0,X0)|~spl0_32)),
% 4.82/1.00 inference(resolution,[status(thm)],[f2554,f4116])).
% 4.82/1.00 fof(f4624,plain,(
% 4.82/1.00 ![X0,X1,X2]: (midp(X0,X1,X1)|~midp(X0,X2,X2)|~spl0_32)),
% 4.82/1.00 inference(forward_subsumption_resolution,[status(thm)],[f4623,f4116])).
% 4.82/1.00 fof(f4631,plain,(
% 4.82/1.00 spl0_46 <=> cong(X0,X1,X1,X2)|~midp(X0,X1,X2)),
% 4.82/1.00 introduced(split_symbol_definition)).
% 4.82/1.00 fof(f4632,plain,(
% 4.82/1.00 ![X0,X1,X2]: (cong(X0,X1,X1,X2)|~midp(X0,X1,X2)|~spl0_46)),
% 4.82/1.00 inference(component_clause,[status(thm)],[f4631])).
% 4.82/1.00 fof(f4634,plain,(
% 4.82/1.00 spl0_47 <=> ~midp(X3,X3,X4)|~midp(X3,X3,X4)),
% 4.82/1.00 introduced(split_symbol_definition)).
% 4.82/1.00 fof(f4635,plain,(
% 4.82/1.00 ![X0,X1]: (~midp(X0,X0,X1)|~midp(X0,X0,X1)|~spl0_47)),
% 4.82/1.00 inference(component_clause,[status(thm)],[f4634])).
% 4.82/1.00 fof(f4637,plain,(
% 4.82/1.00 ![X0,X1,X2,X3,X4]: (cong(X0,X1,X1,X2)|~midp(X3,X3,X4)|~midp(X0,X1,X2)|~midp(X3,X3,X4))),
% 4.82/1.00 inference(resolution,[status(thm)],[f2925,f264])).
% 4.82/1.00 fof(f4638,plain,(
% 4.82/1.00 spl0_46|spl0_47),
% 4.82/1.00 inference(split_clause,[status(thm)],[f4637,f4631,f4634])).
% 4.82/1.00 fof(f4878,plain,(
% 4.82/1.00 ![X0,X1,X2]: (cong(X0,X1,X1,X2)|~midp(X0,X2,X1)|~spl0_46)),
% 4.82/1.00 inference(resolution,[status(thm)],[f4632,f122])).
% 4.82/1.00 fof(f5168,plain,(
% 4.82/1.00 spl0_79 <=> para(sk0_31,sk0_24,sk0_24,sk0_31)),
% 4.82/1.00 introduced(split_symbol_definition)).
% 4.82/1.00 fof(f5170,plain,(
% 4.82/1.00 ~para(sk0_31,sk0_24,sk0_24,sk0_31)|spl0_79),
% 4.82/1.00 inference(component_clause,[status(thm)],[f5168])).
% 4.82/1.00 fof(f5188,plain,(
% 4.82/1.00 $false|spl0_79),
% 4.82/1.00 inference(forward_subsumption_resolution,[status(thm)],[f5170,f3482])).
% 4.82/1.00 fof(f5189,plain,(
% 4.82/1.00 spl0_79),
% 4.82/1.00 inference(contradiction_clause,[status(thm)],[f5188])).
% 4.82/1.00 fof(f5234,plain,(
% 4.82/1.00 ![X0]: (midp(sk0_28,X0,X0)|~spl0_32|~spl0_13)),
% 4.82/1.00 inference(resolution,[status(thm)],[f4624,f3413])).
% 4.82/1.00 fof(f5482,plain,(
% 4.82/1.00 ![X0,X1]: (~midp(X0,X0,X1)|~spl0_47)),
% 4.82/1.00 inference(duplicate_literals_removal,[status(esa)],[f4635])).
% 4.82/1.00 fof(f5483,plain,(
% 4.82/1.00 $false|~spl0_47|~spl0_32|~spl0_13),
% 4.82/1.00 inference(resolution,[status(thm)],[f5482,f5234])).
% 4.82/1.00 fof(f5484,plain,(
% 4.82/1.00 ~spl0_47|~spl0_32|~spl0_13),
% 4.82/1.00 inference(contradiction_clause,[status(thm)],[f5483])).
% 4.82/1.00 fof(f5784,plain,(
% 4.82/1.00 spl0_89 <=> para(sk0_31,sk0_25,sk0_25,sk0_31)),
% 4.82/1.00 introduced(split_symbol_definition)).
% 4.82/1.00 fof(f5786,plain,(
% 4.82/1.00 ~para(sk0_31,sk0_25,sk0_25,sk0_31)|spl0_89),
% 4.82/1.00 inference(component_clause,[status(thm)],[f5784])).
% 4.82/1.02 fof(f5804,plain,(
% 4.82/1.02 $false|spl0_89),
% 4.82/1.02 inference(forward_subsumption_resolution,[status(thm)],[f5786,f3483])).
% 4.82/1.02 fof(f5805,plain,(
% 4.82/1.02 spl0_89),
% 4.82/1.02 inference(contradiction_clause,[status(thm)],[f5804])).
% 4.82/1.02 fof(f5818,plain,(
% 4.82/1.02 ![X0]: (midp(X0,sk0_28,sk0_28)|~spl0_32|~spl0_13)),
% 4.82/1.02 inference(resolution,[status(thm)],[f4337,f5234])).
% 4.82/1.02 fof(f5825,plain,(
% 4.82/1.02 ![X0,X1]: (midp(X0,X1,X1)|~spl0_13|~spl0_32)),
% 4.82/1.02 inference(resolution,[status(thm)],[f5818,f4624])).
% 4.82/1.02 fof(f5862,plain,(
% 4.82/1.02 ![X0,X1,X2]: (~cong(X0,X1,X0,X1)|perp(X0,X0,X1,X2)|~spl0_13|~spl0_32)),
% 4.82/1.02 inference(backward_subsumption_resolution,[status(thm)],[f2237,f5825])).
% 4.82/1.02 fof(f5943,plain,(
% 4.82/1.02 ![X0,X1]: (cong(X0,X1,X1,X1)|~spl0_13|~spl0_32|~spl0_46)),
% 4.82/1.02 inference(resolution,[status(thm)],[f5825,f4878])).
% 4.82/1.02 fof(f6165,plain,(
% 4.82/1.02 ![X0,X1,X2]: (perp(X0,X0,X1,X2)|~midp(X0,X1,X1)|~spl0_13|~spl0_32)),
% 4.82/1.02 inference(resolution,[status(thm)],[f5862,f260])).
% 4.82/1.02 fof(f6166,plain,(
% 4.82/1.02 ![X0,X1,X2]: (perp(X0,X0,X1,X2)|~spl0_13|~spl0_32)),
% 4.82/1.02 inference(forward_subsumption_resolution,[status(thm)],[f6165,f5825])).
% 4.82/1.02 fof(f6183,plain,(
% 4.82/1.02 spl0_97 <=> coll(sk0_39,sk0_27,sk0_31)),
% 4.82/1.02 introduced(split_symbol_definition)).
% 4.82/1.02 fof(f6185,plain,(
% 4.82/1.02 ~coll(sk0_39,sk0_27,sk0_31)|spl0_97),
% 4.82/1.02 inference(component_clause,[status(thm)],[f6183])).
% 4.82/1.02 fof(f6205,plain,(
% 4.82/1.02 spl0_101 <=> coll(sk0_36,sk0_27,sk0_31)),
% 4.82/1.02 introduced(split_symbol_definition)).
% 4.82/1.02 fof(f6207,plain,(
% 4.82/1.02 ~coll(sk0_36,sk0_27,sk0_31)|spl0_101),
% 4.82/1.02 inference(component_clause,[status(thm)],[f6205])).
% 4.82/1.02 fof(f6280,plain,(
% 4.82/1.02 $false|spl0_97),
% 4.82/1.02 inference(forward_subsumption_resolution,[status(thm)],[f6185,f440])).
% 4.82/1.02 fof(f6281,plain,(
% 4.82/1.02 spl0_97),
% 4.82/1.02 inference(contradiction_clause,[status(thm)],[f6280])).
% 4.82/1.02 fof(f6282,plain,(
% 4.82/1.02 $false|spl0_101),
% 4.82/1.02 inference(forward_subsumption_resolution,[status(thm)],[f6207,f437])).
% 4.82/1.02 fof(f6283,plain,(
% 4.82/1.02 spl0_101),
% 4.82/1.02 inference(contradiction_clause,[status(thm)],[f6282])).
% 4.82/1.02 fof(f6405,plain,(
% 4.82/1.02 ![X0,X1]: (para(X0,X1,X0,X0)|~cong(X0,X0,X0,X1))),
% 4.82/1.02 inference(resolution,[status(thm)],[f875,f206])).
% 4.82/1.02 fof(f6415,plain,(
% 4.82/1.02 ![X0,X1]: (para(X0,X1,X0,X0)|~cong(X0,X0,X1,X0))),
% 4.82/1.02 inference(resolution,[status(thm)],[f6405,f149])).
% 4.82/1.02 fof(f6432,plain,(
% 4.82/1.02 ![X0,X1]: (para(X0,X1,X0,X0)|~cong(X1,X0,X0,X0))),
% 4.82/1.02 inference(resolution,[status(thm)],[f6415,f151])).
% 4.82/1.02 fof(f6433,plain,(
% 4.82/1.02 ![X0,X1]: (para(X0,X1,X0,X0)|~spl0_13|~spl0_32|~spl0_46)),
% 4.82/1.02 inference(forward_subsumption_resolution,[status(thm)],[f6432,f5943])).
% 4.82/1.02 fof(f6464,plain,(
% 4.82/1.02 ![X0,X1,X2,X3]: (~perp(X0,X0,X1,X2)|perp(X0,X3,X1,X2)|~spl0_13|~spl0_32|~spl0_46)),
% 4.82/1.02 inference(resolution,[status(thm)],[f6433,f120])).
% 4.82/1.02 fof(f6465,plain,(
% 4.82/1.02 ![X0,X1,X2,X3]: (perp(X0,X1,X2,X3)|~spl0_13|~spl0_32|~spl0_46)),
% 4.82/1.02 inference(forward_subsumption_resolution,[status(thm)],[f6464,f6166])).
% 4.82/1.02 fof(f6514,plain,(
% 4.82/1.02 $false|~spl0_13|~spl0_32|~spl0_46),
% 4.82/1.02 inference(backward_subsumption_resolution,[status(thm)],[f424,f6465])).
% 4.82/1.02 fof(f6515,plain,(
% 4.82/1.02 ~spl0_13|~spl0_32|~spl0_46),
% 4.82/1.02 inference(contradiction_clause,[status(thm)],[f6514])).
% 4.82/1.02 fof(f6516,plain,(
% 4.82/1.02 $false),
% 4.82/1.02 inference(sat_refutation,[status(thm)],[f3416,f3725,f4122,f4383,f4638,f5189,f5484,f5805,f6281,f6283,f6515])).
% 4.82/1.02 % SZS output end CNFRefutation for theBenchmark.p
% 4.82/1.02 % Elapsed time: 0.713602 seconds
% 4.82/1.02 % CPU time: 5.213306 seconds
% 4.82/1.02 % Memory used: 92.814 MB
%------------------------------------------------------------------------------